Representations of the quantum torus and applications to finitely presented groups

C. J. B. Brookes; J. R. J. Groves

Representations of the quantum torus and applications to finitely presented groups

Representation Theory 2011-12-06 v3 Group Theory

Authors: C. J. B. Brookes , J. R. J. Groves

Abstract

A structure theorem is proved for strongly holonomic modules over a quantum torus (a crossed product of a field with a free abelian group in which the field is central). This can be applied to give a structure theorem for finitely presented abelian-by-nilpotent groups.

Keywords

quantum torus strongly holonomic modules finitely presented groups abelian-by-nilpotent groups structure theorem representation theory

Cite

@article{arxiv.0711.2466,
  title  = {Representations of the quantum torus and applications to finitely presented groups},
  author = {C. J. B. Brookes and J. R. J. Groves},
  journal= {arXiv preprint arXiv:0711.2466},
  year   = {2011}
}

Comments

37 pages: some minor corrections and a reference to recent material

Representations of the quantum torus and applications to finitely presented groups

Abstract

Keywords

Cite

Comments

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